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4043257094772 = 22327197013120413
BaseRepresentation
bin111010110101100100111…
…001110010001001110100
3112022112100112112210111100
4322311210321302021310
51012221042304013042
612333240251410100
7565054452151050
oct72654471621164
915275315483440
104043257094772
11131981024a175
1255373a753930
1323437b8ba2bc
14dd9a2318c60
15702938bc24c
hex3ad64e72274

4043257094772 has 144 divisors (see below), whose sum is σ = 12297140069760. Its totient is φ = 1094250311424.

The previous prime is 4043257094743. The next prime is 4043257094777. The reversal of 4043257094772 is 2774907523404.

4043257094772 is a `hidden beast` number, since 4 + 0 + 432 + 57 + 0 + 94 + 7 + 72 = 666.

It is a super-2 number, since 2×40432570947722 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4043257094777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33518038 + ... + 33638450.

It is an arithmetic number, because the mean of its divisors is an integer number (85396806040).

Almost surely, 24043257094772 is an apocalyptic number.

4043257094772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4043257094772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148570034880).

4043257094772 is an abundant number, since it is smaller than the sum of its proper divisors (8253882974988).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4043257094772 is a wasteful number, since it uses less digits than its factorization.

4043257094772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127462 (or 127457 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 4043257094772 in words is "four trillion, forty-three billion, two hundred fifty-seven million, ninety-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 7013 14026 21039 28052 42078 49091 63117 84156 98182 120413 126234 133247 147273 196364 240826 252468 266494 294546 361239 399741 441819 481652 532988 589092 722478 799482 842891 883638 932729 1083717 1199223 1444956 1598964 1685782 1767276 1865458 2167434 2287847 2398446 2528673 2798187 3371564 3730916 4334868 4575694 4796892 5057346 5596374 6863541 7586019 8394561 9151388 10114692 11192748 13727082 15172038 16014929 16789122 20590623 27454164 30344076 32029858 33578244 41181246 48044787 64059716 82362492 96089574 144134361 192179148 288268722 576537444 844456369 1688912738 2533369107 3377825476 5066738214 5911194583 7600107321 10133476428 11822389166 15200214642 16044671011 17733583749 23644778332 30400429284 32089342022 35467167498 48134013033 53200751247 64178684044 70934334996 96268026066 106401502494 112312697077 144402039099 192536052132 212803004988 224625394154 288804078198 336938091231 449250788308 577608156396 673876182462 1010814273693 1347752364924 2021628547386 4043257094772